A rope that is 64 feet long is divided into two segments with the ratio 3:5? What is the length of the shorter and longer segments?
3+5 = 8
64/8 = 8
3:5 = 24:40
To find the lengths of the shorter and longer segments, we can use the concept of ratios.
Step 1: Add the parts of the ratio together. In this case, the ratio is 3:5, so we add 3 + 5 = 8.
Step 2: Determine the value of each part of the ratio. Divide the total length (64 feet) by the value from Step 1.
For the shorter segment: 64 / 8 * 3 = 24 feet.
For the longer segment: 64 / 8 * 5 = 40 feet.
Therefore, the length of the shorter segment is 24 feet, and the length of the longer segment is 40 feet.